13412415315320 has 128 divisors (see below), whose sum is σ = 35377438694400. Its totient is φ = 4480615996416.

The previous prime is 13412415315293. The next prime is 13412415315323. The reversal of 13412415315320 is 2351351421431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13412415315323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3562517 + ... + 6286203.

It is an arithmetic number, because the mean of its divisors is an integer number (276386239800).

Almost surely, 2^{13412415315320} is an apocalyptic number.

13412415315320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412415315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688719347200).

13412415315320 is an abundant number, since it is smaller than the sum of its proper divisors (21965023379080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13412415315320 is a wasteful number, since it uses less digits than its factorization.

13412415315320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724157 (or 2724153 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 13412415315320 its reverse (2351351421431), we get a palindrome (15763766736751).

The spelling of 13412415315320 in words is "thirteen trillion, four hundred twelve billion, four hundred fifteen million, three hundred fifteen thousand, three hundred twenty".